{"id":"https://openalex.org/W7116683181","doi":"https://doi.org/10.1007/s40314-025-03579-z","title":"Hopf bifurcation and control in a delayed HCV infection model incorporating cellular diffusion and logistic growth","display_name":"Hopf bifurcation and control in a delayed HCV infection model incorporating cellular diffusion and logistic growth","publication_year":2025,"publication_date":"2025-12-22","ids":{"openalex":"https://openalex.org/W7116683181","doi":"https://doi.org/10.1007/s40314-025-03579-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03579-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03579-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121010150","display_name":"Dandan Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I134687103","display_name":"Nanjing Tech University","ror":"https://ror.org/03sd35x91","country_code":"CN","type":"education","lineage":["https://openalex.org/I134687103"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dandan Xue","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China","institution_ids":["https://openalex.org/I134687103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028385048","display_name":"Shufen Wei","orcid":"https://orcid.org/0000-0001-7658-336X"},"institutions":[{"id":"https://openalex.org/I134687103","display_name":"Nanjing Tech University","ror":"https://ror.org/03sd35x91","country_code":"CN","type":"education","lineage":["https://openalex.org/I134687103"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shufen Wei","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China","institution_ids":["https://openalex.org/I134687103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083481247","display_name":"Xinze Lian","orcid":"https://orcid.org/0000-0001-8909-5146"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinze Lian","raw_affiliation_strings":["School of Data Science and Artificial Intelligence, Wenzhou University of Technology, Zhejiang, 325000, China"],"affiliations":[{"raw_affiliation_string":"School of Data Science and Artificial Intelligence, Wenzhou University of Technology, Zhejiang, 325000, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120992588","display_name":"Rui Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146387","display_name":"Guang\u2019anmen Hospital","ror":"https://ror.org/04gjmb875","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210146387"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Liu","raw_affiliation_strings":["Department of Oncology, Guang\u2019anmen Hospital, Beijing, 100053, China"],"affiliations":[{"raw_affiliation_string":"Department of Oncology, Guang\u2019anmen Hospital, Beijing, 100053, China","institution_ids":["https://openalex.org/I4210146387"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121009090","display_name":"Feng Rao","orcid":null},"institutions":[{"id":"https://openalex.org/I134687103","display_name":"Nanjing Tech University","ror":"https://ror.org/03sd35x91","country_code":"CN","type":"education","lineage":["https://openalex.org/I134687103"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Rao","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, Jiangsu, 211816, China","institution_ids":["https://openalex.org/I134687103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5121009090"],"corresponding_institution_ids":["https://openalex.org/I134687103"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.66779559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10151","display_name":"Hepatitis C virus research","score":0.7398999929428101,"subfield":{"id":"https://openalex.org/subfields/2721","display_name":"Hepatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10151","display_name":"Hepatitis C virus research","score":0.7398999929428101,"subfield":{"id":"https://openalex.org/subfields/2721","display_name":"Hepatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.20999999344348907,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11048","display_name":"Bacteriophages and microbial interactions","score":0.00430000014603138,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.8282999992370605},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.6636999845504761},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5410000085830688},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5285000205039978},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.5241000056266785},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.48649999499320984},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47530001401901245},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.4666000008583069},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.459199994802475},{"id":"https://openalex.org/keywords/virus","display_name":"Virus","score":0.45500001311302185}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.8282999992370605},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.6636999845504761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6481999754905701},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5410000085830688},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.5241000056266785},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.48649999499320984},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47530001401901245},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.4666000008583069},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.459199994802475},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4569000005722046},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.45500001311302185},{"id":"https://openalex.org/C79879829","wikidata":"https://www.wikidata.org/wiki/Q5571762","display_name":"Intracellular","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3885999917984009},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3714999854564667},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C2776408679","wikidata":"https://www.wikidata.org/wiki/Q708693","display_name":"Hepatitis C virus","level":3,"score":0.34850001335144043},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.30489999055862427},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.30000001192092896},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.29980000853538513},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.28119999170303345},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.2799000144004822},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.26840001344680786},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.26019999384880066},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2563999891281128}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03579-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03579-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2501026914","display_name":null,"funder_award_id":"N/A","funder_id":"https://openalex.org/F4320327794","funder_display_name":"Qinglan Project of Jiangsu Province of China"}],"funders":[{"id":"https://openalex.org/F4320327794","display_name":"Qinglan Project of Jiangsu Province of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W341845201","https://openalex.org/W1480115925","https://openalex.org/W1560060148","https://openalex.org/W1967080996","https://openalex.org/W1980587508","https://openalex.org/W1990326991","https://openalex.org/W1994902531","https://openalex.org/W2001169111","https://openalex.org/W2013749368","https://openalex.org/W2027356146","https://openalex.org/W2029180341","https://openalex.org/W2043519223","https://openalex.org/W2044403736","https://openalex.org/W2046904024","https://openalex.org/W2047384841","https://openalex.org/W2048974214","https://openalex.org/W2049978891","https://openalex.org/W2055339872","https://openalex.org/W2064059889","https://openalex.org/W2072122090","https://openalex.org/W2073017712","https://openalex.org/W2074483686","https://openalex.org/W2076821090","https://openalex.org/W2080497324","https://openalex.org/W2082734651","https://openalex.org/W2084084346","https://openalex.org/W2127274349","https://openalex.org/W2132016120","https://openalex.org/W2145947181","https://openalex.org/W2146810533","https://openalex.org/W2161728228","https://openalex.org/W2330325083","https://openalex.org/W2472079310","https://openalex.org/W2794184300","https://openalex.org/W2896230562","https://openalex.org/W2928439338","https://openalex.org/W2941977933","https://openalex.org/W2963450548","https://openalex.org/W2964117113","https://openalex.org/W3047433286","https://openalex.org/W3145028149","https://openalex.org/W3211685996","https://openalex.org/W4210995852","https://openalex.org/W4283328201","https://openalex.org/W4310064640","https://openalex.org/W4311545068","https://openalex.org/W4383998323","https://openalex.org/W4388364567","https://openalex.org/W7083583894"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-12-22T00:00:00"}
